EduSahara™ Assignment
Name : Solution of Pair of Linear Equations using Graphs
Chapter : Pair of Linear Equations in Two Variables
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
Which of the following are true ?
a)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
b)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
c)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
  • (i)
    {a,d}
  • (ii)
    {d}
  • (iii)
    {b,d}
  • (iv)
    {c,a,d}
Question 2
2.
Find the equation parallel to the given equation
  • (i)
    (
    −
    2
    x
    −
    4
    y
    +
    12
    		)
    =
    0
  • (ii)
    (
    −
    x
    +
    2
    y
    +
    10
    		)
    =
    0
  • (iii)
    (
    4
    x
    −
    2
    y
    +
    4
    		)
    =
    0
  • (iv)
    (
    3
    x
    +
    2
    y
    +
    3
    		)
    =
    0
Question 3
3.
    • Find the equation parallel to the given equation
    • (
      6
      x
      +
      6
      y
      −
      5
      		)
      =
      0
  • (i)
    (
    6
    x
    +
    6
    y
    −
    6
    		)
    =
    0
  • (ii)
    (
    −
    x
    +
    y
    		)
    =
    0
  • (iii)
    (
    −
    2
    x
    +
    y
    +
    15
    		)
    =
    0
  • (iv)
    (
    y
    −
    1
    		)
    =
    0
Question 4
4.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      2
      ,
      2
      )
  • (i)
    x
    =
    4
  • (ii)
    y
    =
    4
  • (iii)
    y
    =
    2
  • (iv)
    y
    =
    1
  • (v)
    x
    =
    2
Question 5
5.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      7
      ,
      7
      )
  • (i)
    y
    =
    9
  • (ii)
    y
    =
    7
  • (iii)
    x
    =
    7
  • (iv)
    x
    =
    6
  • (v)
    x
    =
    10
Question 6
6.
    • Find the value of k such that
    • (
      −
      5
      x
      −
      11
      y
      +
      8
      		)
      =
      0
    • and
    • (
      k
      x
      		  +  
      11
      y
      		  −  
      84
      ) = 0
    • are parallel to each other
  • (i)
    4
  • (ii)
    5
  • (iii)
    7
  • (iv)
    6
  • (v)
    3
Question 7
7.
    • Which of the following pairs of lines are parallel?
  • (i)
      • (
        −
        6
        x
        +
        13
        y
        −
        74
        		)
        =
        0
      • ,
      • (
        −
        6
        x
        +
        13
        y
        −
        23
        		)
        =
        0
  • (ii)
      • (
        −
        6
        x
        +
        13
        y
        −
        74
        		)
        =
        0
      • ,
      • (
        13
        x
        +
        6
        y
        +
        91
        		)
        =
        0
  • (iii)
      • (
        −
        6
        x
        +
        13
        y
        −
        74
        		)
        =
        0
      • ,
      • (
        7
        x
        +
        6
        y
        +
        49
        		)
        =
        0
  • (iv)
      • (
        −
        6
        x
        +
        13
        y
        −
        74
        		)
        =
        0
      • ,
      • (
        −
        19
        x
        +
        13
        y
        −
        101
        		)
        =
        0
Question 8
8.
    • Which of the following lines pass through the origin?
  • (i)
    (
    −
    2
    x
    −
    4
    y
    −
    28
    		)
    =
    0
  • (ii)
    (
    11
    x
    −
    2
    y
    −
    38
    		)
    =
    0
  • (iii)
    (
    3
    x
    −
    4
    y
    		)
    =
    0
  • (iv)
    (
    −
    14
    x
    −
    5
    y
    −
    58
    		)
    =
    0
  • (v)
    (
    5
    x
    +
    11
    y
    −
    53
    		)
    =
    0
Question 9
9.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    5
    x
    +
    8
    y
    		)
    =
    0
  • (ii)
    (
    −
    8
    x
    −
    3
    y
    		)
    =
    0
  • (iii)
    (
    x
    +
    7
    y
    +
    18
    		)
    =
    0
  • (iv)
    (
    −
    2
    x
    +
    4
    y
    		)
    =
    0
  • (v)
    (
    3
    x
    −
    6
    y
    		)
    =
    0
Question 10
10.
    • Which of the displayed lines represent the equation
    • (
      5
      x
      −
      5
      y
      −
      5
      		)
      =
      0
    • ?
  • (i)
      • line with point
      • N
  • (ii)
      • line with point
      • Q
  • (iii)
      • line with point
      • O
  • (iv)
      • line with point
      • P
  • (v)
      • line with point
      • M
Question 11
11.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      4
      		)
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • V
  • (iii)
      • line with point
      • T
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • W
Question 12
12.
    • Which of the displayed lines represent the equation
    • x
      =
      (
      −
      4
      		)
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • V
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • W
Question 13
13.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      5
      4
      x
      −
      11
      4
      		)
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • O
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • Q
Question 14
14.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      2
      7
      x
      		)
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • X
  • (iii)
      • line with point
      • W
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • V
Question 15
15.
    • Solve
    •  
    • (
      −
      12
      x
      −
      y
      +
      7
      		)
      =
      0
      (
      6
      x
      +
      3
      y
      +
      9
      		)
      =
      0
  • (i)
    (
    1
    ,
    (
    −
    5
    )
    )
  • (ii)
    (
    3
    ,
    (
    −
    3
    )
    )
  • (iii)
    (
    2
    ,
    (
    −
    6
    )
    )
  • (iv)
    (
    0
    ,
    (
    −
    4
    )
    )
  • (v)
    (
    (
    −
    1
    )
    ,
    (
    −
    7
    )
    )
Question 16
16.
    • Solve
    •  
    • (
      −
      9
      x
      +
      9
      y
      +
      9
      		)
      =
      0
      (
      2
      x
      +
      2
      y
      +
      14
      		)
      =
      0
  • (i)
    (
    (
    −
    3
    )
    ,
    (
    −
    4
    )
    )
  • (ii)
    (
    7
    ,
    8
    )
  • (iii)
    (
    2
    ,
    5
    )
  • (iv)
    (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    (
    −
    5
    )
    ,
    (
    −
    6
    )
    )
Question 17
17.
    • Solve
    •  
    • (
      x
      +
      6
      		)
      =
      0
      (
      x
      −
      7
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    (
    −
    4
    )
    ,
    3
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    (
    −
    3
    )
    ,
    (
    −
    7
    )
    )
  • (v)
    (
    (
    −
    1
    )
    ,
    (
    −
    5
    )
    )
Question 18
18.
    • Solve
    •  
    • (
      y
      +
      4
      		)
      =
      0
      (
      y
      +
      3
      		)
      =
      0
  • (i)
    Infinite solutions
  • (ii)
    No solution
  • (iii)
    (
    0
    ,
    6
    )
  • (iv)
    (
    (
    −
    2
    )
    ,
    4
    )
  • (v)
    (
    (
    −
    6
    )
    ,
    0
    )
Question 19
19.
    • Solve
    •  
    • (
      2
      x
      +
      10
      y
      −
      14
      		)
      =
      0
      (
      x
      +
      5
      y
      +
      33
      		)
      =
      0
  • (i)
    (
    5
    ,
    (
    −
    2
    )
    )
  • (ii)
    No solution
  • (iii)
    (
    7
    ,
    0
    )
  • (iv)
    Infinite solutions
  • (v)
    (
    2
    ,
    (
    −
    7
    )
    )
Question 20
20.
    • Solve
    •  
    • (
      −
      2
      x
      −
      4
      y
      −
      14
      		)
      =
      0
      (
      −
      4
      x
      −
      8
      y
      −
      28
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    (
    −
    3
    )
    ,
    (
    −
    2
    )
    )
  • (iii)
    (
    (
    −
    7
    )
    ,
    0
    )
  • (iv)
    (
    3
    ,
    (
    −
    2
    )
    )
  • (v)
    Infinite solutions
Question 21
21.
    • Solve
    •  
    • (
      4
      x
      −
      6
      y
      −
      16
      		)
      =
      0
      (
      y
      +
      4
      		)
      =
      0
  • (i)
    (
    0
    ,
    (
    −
    4
    )
    )
  • (ii)
    (
    4
    ,
    0
    )
  • (iii)
    (
    6
    ,
    4
    )
  • (iv)
    (
    (
    −
    2
    )
    ,
    0
    )
  • (v)
    (
    (
    −
    2
    )
    ,
    (
    −
    4
    )
    )
Question 22
22.
    • Solve
    •  
    • (
      11
      x
      −
      5
      y
      +
      9
      		)
      =
      0
      (
      x
      +
      4
      		)
      =
      0
  • (i)
    (
    (
    −
    4
    )
    ,
    0
    )
  • (ii)
    (
    (
    −
    4
    )
    ,
    (
    −
    7
    )
    )
  • (iii)
    (
    0
    ,
    (
    −
    7
    )
    )
  • (iv)
    (
    1
    ,
    4
    )
  • (v)
    (
    (
    −
    2
    )
    ,
    6
    )
Question 23
23.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • (i)
    2
  • (ii)
    same
  • (iii)
    1
  • (iv)
    not proportional
  • (v)
    not same
Question 24
24.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    0
    ,
    9
    )
  • (iv)
    (
    7
    ,
    0
    )
  • (v)
    (
    0
    ,
    0
    )
Question 25
25.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    y
    =
    k
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    0
  • (iv)
    x
    =
    k
  • (v)
    x
    =
    y
Question 26
26.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    x
    =
    y
  • (ii)
    x
    =
    0
  • (iii)
    x
    =
    k
  • (iv)
    y
    =
    k
  • (v)
    y
    =
    0
Question 27
27.
    • Write the given equation
    		•
      y
      =
      (
      8
      9
      x
      +
      19
      9
      		)
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    −
    8
    9
    x
    +
    3
    y
    −
    19
    9
    		)
    =
    0
  • (ii)
    (
    −
    8
    9
    x
    +
    y
    −
    19
    9
    		)
    =
    0
  • (iii)
    (
    −
    8
    9
    x
    −
    2
    y
    −
    19
    9
    		)
    =
    0
  • (iv)
    (
    −
    8
    11
    x
    +
    y
    −
    19
    9
    		)
    =
    0
  • (v)
    (
    −
    8
    7
    x
    +
    y
    −
    19
    9
    		)
    =
    0
Question 28
28.
Find the equation of the displayed line
  • (i)
    y
    =
    6
  • (ii)
    y
    =
    7
  • (iii)
    y
    =
    8
  • (iv)
    3
    y
    =
    7
  • (v)
    x
    =
    7
Question 29
29.
Find the equation of the displayed line
  • (i)
    x
    =
    (
    −
    7
    		)
  • (ii)
    3
    x
    =
    (
    −
    7
    		)
  • (iii)
    x
    =
    (
    −
    6
    		)
  • (iv)
    y
    =
    (
    −
    7
    		)
  • (v)
    x
    =
    (
    −
    8
    		)
Question 30
30.
    • Find the equation of the line passing through the points
    • (
      (
      −
      5
      )
      ,
      2
      )
    • and
    • (
      8
      ,
      3
      )
  • (i)
    (
    −
    x
    +
    13
    y
    −
    30
    		)
    =
    0
  • (ii)
    (
    x
    −
    13
    y
    +
    31
    		)
    =
    0
  • (iii)
    (
    −
    13
    y
    +
    31
    		)
    =
    0
  • (iv)
    (
    2
    x
    −
    13
    y
    +
    31
    		)
    =
    0
  • (v)
    (
    −
    x
    +
    13
    y
    −
    44
    		)
    =
    0
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (i)
  •  4) (iii)
  •  5) (iii)
  •  6) (ii)
  •  7) (i)
  •  8) (iii)
  •  9) (iii)
  •  10) (v)
  •  11) (iv)
  •  12) (iv)
  •  13) (iii)
  •  14) (iv)
  •  15) (i)
  •  16) (i)
  •  17) (i)
  •  18) (ii)
  •  19) (ii)
  •  20) (v)
  •  21) (v)
  •  22) (ii)
  •  23) (ii)
  •  24) (v)
  •  25) (i)
  •  26) (iii)
  •  27) (ii)
  •  28) (ii)
  •  29) (i)
  •  30) (ii)